Local volumes of singularities and an algebraic Mahler conjecture

Abstract: In my talk I will discuss the notion of local volume for singularities. For the special case of toric singularities this turns out to be closely related to the notion of Mahler volume in convex geometry. This opens a connection between algebraic geometry and unsolved questions around the Mahler volume. In particular, I will discuss possible algebraic interpretations of the well-known Mahler conjecture.

algebraic geometrynumber theory

Audience: researchers in the discipline

SFU NT-AG seminar

Series comments: The Number Theory and Algebraic Geometry (NT-AG) seminar is a research seminar dedicated to topics related to number theory and algebraic geometry hosted by the NT-AG group (Nils Bruin, Imin Chen, Stephen Choi, Katrina Honigs, Nathan Ilten, Marni Mishna).

We acknowledge the support of PIMS, NSERC, and SFU.

For Fall 2025, the organizers are Katrina Honigs and Peter McDonald.

We normally meet in-person in the indicated room. For online editions, we use Zoom and distribute the link through the mailing list. If you wish to be put on the mailing list, please subscribe to ntag-external using lists.sfu.ca